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If two figures are equidistant to a third figure, then they are the same distance to the third figure. If AB = AC, then B and C are equidistant to A. |
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A geometric figure describing a location on a line, in a plane, or in space. |
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A geometric figure that extends in two directions without ending.
[image] |
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A plane is a flat surface that extends in two dimensions without ending. |
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The set of all points in three dimensions. |
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Points that all lie in the same plane. |
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The intersection of two figures is the set of points that is in both figures. |
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Line segment [image] is a section of a line that contains two points, A and B, and all the points in between them.
[image] |
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A ray [image] is a section of a line that begins at point A and continues through point B and keeps going indefinitely in that direction.
[image] |
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Two rays SR and ST are opposite rays if S is between R and T. |
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Point B is between points A and C if they are collinear and are in the order A-B-C. |
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A number line is a line where every point is paired with a real number, and every real number is paired with a point. |
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A coordinate of a point on a number line is the number that is paired with that point. |
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The length of a line segment on a number line can be found by subtracting the coordinates of its endpoints |
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The endpoints of a line segment are the points at either end of that segment. The endpoint of a ray is the first point named in the ray. |
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A statement that is accepted without proof. See also axiom. |
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A statement that is accepted without proof. See also postulate. |
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Two objects that have the same size and shape are congruent. |
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Two segments that have the same length are congruent segments. |
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The midpoint M of a line segment [image] is the point that divides the line segment into two congruent segments so that [image].
[image] |
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A segment bisector, or bisector of a segment, is a line, segment, ray, or plane that intersects the segment at its midpoint. |
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An angle is a figure created by two rays that share the same endpoint.
[image] |
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The two rays that make up an angle are its sides.
[image] |
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An angle's vertex, or vertex of an angle, is the common endpoint of the two rays that make up the angle.
[image] |
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An angle may be defined in terms of its angle measure in degrees, a number that is measured as the portion of a full circle (or 360 degrees). |
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An angle measuring between 0º and 90º. |
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An angle measuring exactly 90º. |
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An angle measuring between 90º and 180º. |
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An angle measuring exactly 180º; this angle is formed by opposite rays. |
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Two angles are congruent if they have equal measures in degrees. |
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Two angles that share a common vertex and a common side, but no common interior points, are adjacent angles.
[image]
Angles AOB and BOC are adjacent angles. |
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An angle bisector is a ray that divides the angle into two congruent adjacent angles. |
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An important statement that has been proven. |
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If something exists, then there is at least one instance of that thing. |
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If something is unique, then there is no more than one of that thing. |
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